ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

The multiplicative inverse of -1 in the set {1-,1} is

• 1 A
• -1 B
• ±1 C
• 0 D
• Does not exist E

The set {1, -1, i, -i}

• Form a group w.r.t addition A
• Form a group w.r.t multiplication B
• Does not form a group w.r.t multiplication C
• Not closed under multiplication D

A conjunction of two statement p and q is true only if

• p is true A
• q is true B
• Both p and q are true C
• both p and q are false D

• An empty set A
• Universal set B
• A singleton set C
• None of these D

G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

• 2, 2, 2 A
• 3, 3, 3 B
• 2, 2, 4 C
• 2, 3, 4 D

The extraction of cube root of a given number is a

• Unary Operation A
• Binary Operation B
• Relation C
• None of these D

The set { {a,b} } is

• Infinite set A
• Singleton set B
• Two points set C
• Empty set D

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

• -a A
• a + 1 B
• -2 -a C
• None of these D

{1, 2, 3} is _____

• an infinite set A
• A finite set B
• A singleton set C
• Universal set D

• 4 A
• 3 B
• 2 C
• 1 D

The set which has no proper subset is

• {0} A
• {} B
• {∅} C
• None of these D

Which of the following is the definition of singleton

• The objects in a set A
• A set having no element B
• A set having no subset C
• None of these D

• a constant function A
• linear function B
• quadratic funtion C
• none of these D

The set of the first elements of the orders pairs forming a relations is called its

• Relation in B A
• Range B
• Domain C
• Relation in A D

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• 0 C
• Does not exist D

If n(A) = n then n(P(A)) is

• 2n A
• n² B
• n/2 C
• 2ⁿ D

The set of complex numbers forms a group under the binary operation of

• Addition A
• none of these B
• Division C
• Subtraction D

To each element of a group there corresponds ______ inverse element

• Two A
• One B
• No C
• Three D

• A is proper subset of B A
• A is an improper subset of B B
• A is equivalent to B C
• B is subset of A D

Which of the following is the subset of all sets

• Φ A
• {1,2,3} B
• {Φ} C
• {0} D

• Biconditional A
• Implication B
• Antecedent C
• Hypothesis D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

(A ∩ B)c =

• A∩ B A
• (A ∪ B)c B
• Ac∪Bc C
• Φ D

• 
  A
• 
  B
• 
  C
• 
  D

The set of the first elements of the ordered pairs forming a relation is called its

• Function on B A
• Range B
• Domain C
• A into B D

• n(A) A
• n(B) B
• 0 C
• 1 D

In set builder notation the set {0, 1, 2, ............, 100} can be written as

• 
  A
• 
  B
• 
  C
• 
  D

The set (Q, .)

• Forms a group A
• Does not form a group B
• Contains no additive identity C
• Contains no additive inverse D

• A A
• B B
• A' C
• None of these D